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Finding the Third Proportional to 3,643,989.75 and 7,974,427.50

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Solution

The third proportional to 3,643,989.75 and 7,974,427.50 is: 17,451,062.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643,989.75 : 7,974,427.50 = 7,974,427.50 : x
  2. Step 2: Convert to fraction form
    3,643,989.75/7,974,427.50 = 7,974,427.50/x
  3. Step 3: Cross multiply
    3,643,989.75x = 7,974,427.50 × 7,974,427.50
  4. Step 4: Simplify right side
    3,643,989.75x = 63,591,493,952,756.25
  5. Step 5: Solve for x
    x = 63,591,493,952,756.25/3,643,989.75
  6. Step 6: Final answer
    x = 17,451,062.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.